there is just one MORSE baptism at Wootton Under Edge

John MORSE - 10 April 1831, father John (clothworker) and Elizabeth

and one MORSE marriage at WUE (on FOD Misc Records)

John MORSE married Elizabeth EDWARDS - at WUE - 19 April 1830

poss?

Elizabeth EDWARDS - christened WUE - 24 May 1807 - Geo & Lattitia

George EDWARDS - married WUE Lattitia LACEY - 11 May 1806

Wotton Under Edge is not too many miles from the Wiltshire border. 9 other people on 1851 census, say they were born in Wiltshire, WUE, 5 people in 1861 - 18 people in 1871. Therefore your John MORSE could be the WUE birth in 1831.